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If someone writes (q^2) is even directly from (p^2=2q^2) in the proof of (\sqrt{2}), why is this a rushed step?यदि (\sqrt{2}) की सिद्धि में कोई (p^2=2q^2) से (q^2) सम लिखता है, तो यह क्यों जल्दबाजी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: First (p^2) even and (p) even must be proved, then (p=2k) is substitutedपहले (p^2) सम और (p) सम सिद्ध करके (p=2k) रखना होता है
Step 1: From (p^2=2q^2), we immediately get (p^2) even. Step 2: Only after substituting (p=2k) do we get (q^2=2k^2). Step 3: Skipping the order makes the proof weak.चरण 1: (p^2=2q^2) से तुरंत (p^2) सम मिलता है। चरण 2: फिर (p=2k) रखकर ही (q^2=2k^2) मिलता है। चरण 3: क्रम छोड़ने से प्रमाण कमजोर हो जाता है।
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